Least Common Multiple of 1688/384, 6153/2920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1688/384, 6153/2920 quickly i.e. 1298283 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1688/384, 6153/2920 is 1298283.

LCM(1688/384, 6153/2920) = 1298283

LCM of 1688/384, 6153/2920

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 1688/384,6153/2920

Given numbers are 1688/384,6153/2920

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 1688,6153

Least Common Multiple of Numerators i.e. LCM of 1688,6153 is 10386264.

GCF of Denominators means GCF of 384,2920 as per the given fractions.

GCF of 384,2920 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1688,6153

LCM of Fractions 1688/384,6153/2920 is 1298283

Given numbers has no common factors except 1. So, there LCM is their product i.e 10386264

Least Common Multiple of 1688,6153 with GCF Formula

Least Common Multiple of 1688,6153 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 1688,6153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1688,6153) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(1688,6153) x common factors =1 x 1 = 1

LCM(1688,6153) = ( 1688 × 6153 ) / 1

LCM(1688,6153) = 10386264 / 1

LCM(1688,6153) = 10386264


Lets's calculate GCF of 384,2920

2 384, 2920
2 192, 1460
2 96, 730
48, 365

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10386264/8

Therefore the LCM of Fractions 1688/384,6153/2920 is 1298283

Greatest Common Factor of 384,2920 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,2920 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 2920

List of positive integer factors of 2920 that divides 2920 without a remainder.

1,2,4,5,8,10,20,40,73,146,292,365,584,730,1460,2920

Greatest Common Factor

We found the factors 384,2920 . The biggest common factor number is the GCF number.
So the greatest common factor 384,2920 is 8.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 1688/384, 6153/2920

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 1688/384, 6153/2920?

Answer: LCM of Numerators as per given numbers 1688/384, 6153/2920 is

LCM of Numerators i.e. for 1688,6153 is 10386264

GCF of denominators i.e. for 384,2920 is 8.

Thus, LCM of Fractions is 1298283.Finally, LCM of Fractions for 1688/384, 6153/2920 is 1298283.